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Q1.a) “Statistics is the nerve center for Operations Research.” Discuss.

b)State any four areas for the application of OR techniques in Financial Management, how it improves the performance of the organization.

Q2.At the beginning of a month, a lady has Rs. 30,000 available in cash. She expects to receive certain revenues at the beginning of the months 1, 2, 3 and 4 and pay the bills after that, as detailed here:

Q4.Give the various sequencing models that are available for solving sequential problems. Give suitable examples.

Q5.A company has determined from its analysis of production and accounting data that, for a part number KC-438, the annual demand is equal to 10,000 units, the cost to purchase the item is Rs 36 per order, and the holding cost is Rs 2/unit/pear

Q6.A TV repairman finds that the time spent on his jobs has an exponential distribution with a mean 30 minutes. If he repairs sets on the first-come-first-served basis and if the arrival of sets is with an average rate of 10 per 8-hour day, what is repairman’s expected idle time each day? Also obtain average number of units in the system.

Q7.What is critical path? State the necessary and sufficient conditions of critical path. Can a project have multiple critical paths?

Q9.A salesman makes all sales in three cities X, Y and Z only. It is known that he visits each city on a weekly basis and never visits the same city in successive weeks. If he visits city X in a given week, then he visits city Z in next week. However, if he visits city Y or Z, he is twice as likely to visit city X than the other city. Obtain the transition probability matrix. Also determine the proportionate visits by him to each of the cities in the long run.

Q10.“When it becomes difficult to use an optimization technique for solving a problem, one has to resort to simulation”. Discuss.